726529171680 has 768 divisors, whose sum is σ = 2792067667200. Its totient is φ = 175372369920.

The previous prime is 726529171673. The next prime is 726529171699. The reversal of 726529171680 is 86171925627.

726529171680 is a `hidden beast` number, since 7 + 26 + 529 + 1 + 7 + 16 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 684758350 + ... + 684759410.

It is an arithmetic number, because the mean of its divisors is an integer number (3635504775).

Almost surely, 2^726529171680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726529171680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396033833600).

726529171680 is an abundant number, since it is smaller than the sum of its proper divisors (2065538495520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

726529171680 is a wasteful number, since it uses less digits than its factorization.

726529171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 726529171680 in words is "seven hundred twenty-six billion, five hundred twenty-nine million, one hundred seventy-one thousand, six hundred eighty".